A Note on Three Classes of Nonlinear Parabolic Equations with Measurable Coefficients

A Note on Three Classes of Nonlinear Parabolic Equations with Measurable Coefficients

Year:    1995

Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 4 : pp. 310–320

Abstract

In this note a note and simple technique is presented to replace the complicated one in [1] to obtain Hölder continuity of the weak solutions for a class of nonlinear parabolic equations with measurable coefficients, whose prototype is the singular p-Laplacian. This new approach is also applied to two other classes of nonlinear parabolic equations with measurable coefficients, whose weak solutions exhibit the similar property to those of equations mentioned above.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1995-JPDE-5663

Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 4 : pp. 310–320

Published online:    1995-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Hölder continuity